A semi-locally scaled eddy viscosity formulation for LES wall models and flows at high speeds

Xiang Yang, Yu Lv

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    We show that the mean wall-shear stresses in wall-modeled large-eddy simulations (WMLES) of high-speed flows can be off by up to ≈ 100 % with respect to a DNS benchmark when using the van-Driest-based damping function, i.e., the conventional damping function. Errors in the WMLES-predicted wall-shear stresses are often attributed to the so-called log-layer mismatch, which, albeit also an error in wall-shear stresses τw, is an error of about 15 %. The larger error identified here cannot be removed using the previously developed remedies for the log-layer mismatch. This error may be removed by using the semi-local scaling, i.e., lν=μ/ρτw, in the damping function, where μ and ρ are the local mean dynamic viscosity and density, respectively.

    Original languageEnglish (US)
    Pages (from-to)617-627
    Number of pages11
    JournalTheoretical and Computational Fluid Dynamics
    Volume32
    Issue number5
    DOIs
    StatePublished - Oct 1 2018

    Fingerprint

    eddy viscosity
    high speed
    Viscosity
    formulations
    shear stress
    Shear stress
    Damping
    damping
    Large eddy simulation
    large eddy simulation
    trucks
    viscosity
    scaling

    All Science Journal Classification (ASJC) codes

    • Computational Mechanics
    • Condensed Matter Physics
    • Engineering(all)
    • Fluid Flow and Transfer Processes

    Cite this

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    abstract = "We show that the mean wall-shear stresses in wall-modeled large-eddy simulations (WMLES) of high-speed flows can be off by up to ≈ 100 {\%} with respect to a DNS benchmark when using the van-Driest-based damping function, i.e., the conventional damping function. Errors in the WMLES-predicted wall-shear stresses are often attributed to the so-called log-layer mismatch, which, albeit also an error in wall-shear stresses τw, is an error of about 15 {\%}. The larger error identified here cannot be removed using the previously developed remedies for the log-layer mismatch. This error may be removed by using the semi-local scaling, i.e., lν=μ/ρτw, in the damping function, where μ and ρ are the local mean dynamic viscosity and density, respectively.",
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    A semi-locally scaled eddy viscosity formulation for LES wall models and flows at high speeds. / Yang, Xiang; Lv, Yu.

    In: Theoretical and Computational Fluid Dynamics, Vol. 32, No. 5, 01.10.2018, p. 617-627.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - A semi-locally scaled eddy viscosity formulation for LES wall models and flows at high speeds

    AU - Yang, Xiang

    AU - Lv, Yu

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    N2 - We show that the mean wall-shear stresses in wall-modeled large-eddy simulations (WMLES) of high-speed flows can be off by up to ≈ 100 % with respect to a DNS benchmark when using the van-Driest-based damping function, i.e., the conventional damping function. Errors in the WMLES-predicted wall-shear stresses are often attributed to the so-called log-layer mismatch, which, albeit also an error in wall-shear stresses τw, is an error of about 15 %. The larger error identified here cannot be removed using the previously developed remedies for the log-layer mismatch. This error may be removed by using the semi-local scaling, i.e., lν=μ/ρτw, in the damping function, where μ and ρ are the local mean dynamic viscosity and density, respectively.

    AB - We show that the mean wall-shear stresses in wall-modeled large-eddy simulations (WMLES) of high-speed flows can be off by up to ≈ 100 % with respect to a DNS benchmark when using the van-Driest-based damping function, i.e., the conventional damping function. Errors in the WMLES-predicted wall-shear stresses are often attributed to the so-called log-layer mismatch, which, albeit also an error in wall-shear stresses τw, is an error of about 15 %. The larger error identified here cannot be removed using the previously developed remedies for the log-layer mismatch. This error may be removed by using the semi-local scaling, i.e., lν=μ/ρτw, in the damping function, where μ and ρ are the local mean dynamic viscosity and density, respectively.

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